CHANGELOG_UNRELEASED.md

Changelog (unreleased)

[Unreleased]

Added

• file Rstruct_topology.v

• package coq-mathcomp-reals depending on coq-mathcomp-classical with files

  • constructive_ereal.v
  • reals.v
  • real_interval.v
  • signed.v
  • itv.v
  • prodnormedzmodule.v
  • nsatz_realtype.v
  • all_reals.v

• in file separation_axioms.v,

  • new lemmas compact_normal_local, and compact_normal.

• package coq-mathcomp-experimental-reals depending on coq-mathcomp-reals with files

  • xfinmap.v
  • discrete.v
  • realseq.v
  • realsum.v
  • distr.v

• package coq-mathcomp-reals-stdlib depending on coq-mathcomp-reals with file

  • Rstruct.v

• package coq-mathcomp-analysis-stdlib depending on coq-mathcomp-analysis and coq-mathcomp-reals-stdlib with files

  • Rstruct_topology.v
  • showcase/uniform_bigO.v

• in file separation_axioms.v,

  • new lemmas compact_normal_local, and compact_normal.

• in file topology_theory/one_point_compactification.v,

  • new definitions one_point_compactification, and one_point_nbhs.
  • new lemmas one_point_compactification_compact, one_point_compactification_some_nbhs, one_point_compactification_some_continuous, one_point_compactification_open_some, one_point_compactification_weak_topology, and one_point_compactification_hausdorff.

• in file normedtype.v,

  • new definition type (in module completely_regular_uniformity)
  • new lemmas normal_completely_regular, one_point_compactification_completely_reg, nbhs_one_point_compactification_weakE, locally_compact_completely_regular, and completely_regular_regular.

• in file mathcomp_extra.v,

  • new definition sigT_fun.

• in file sigT_topology.v,

  • new definition sigT_nbhs.
  • new lemmas sigT_nbhsE, existT_continuous, existT_open_map, existT_nbhs, sigT_openP, sigT_continuous, sigT_setUE, and sigT_compact.

• in file separation_axioms.v,

  • new lemma sigT_hausdorff.

• in measure.v:

  • lemma countable_measurable

• in realfun.v:

  • lemma cvgr_dnbhsP

Changed

• in file normedtype.v, changed completely_regular_space to depend on uniform separators which removes the dependency on R. The old formulation can be recovered easily with uniform_separatorP.

• moved from Rstruct.v to Rstruct_topology.v

  • lemmas continuity_pt_nbhs, continuity_pt_cvg, continuity_ptE, continuity_pt_cvg', continuity_pt_dnbhs and nbhs_pt_comp

• moved from real_interval.v to normedtype.v

  • lemmas set_itvK, RhullT, RhullK, set_itv_setT, Rhull_smallest, le_Rhull, neitv_Rhull, Rhull_involutive, disj_itv_Rhull

• in topology.v:

  • lemmas subspace_pm_ball_center, subspace_pm_ball_sym, subspace_pm_ball_triangle, subspace_pm_entourage turned into local Let's

• in lebesgue_integral.v:

  • structure SimpleFun now inside a module HBSimple
  • structure NonNegSimpleFun now inside a module HBNNSimple
  • lemma cst_nnfun_subproof has now a different statement
  • lemma indic_nnfun_subproof has now a different statement

• in mathcomp_extra.v:

  • definition idempotent_fun

• in topology_structure.v:

  • definitions regopen, regclosed
  • lemmas closure_setC, interiorC, closureU, interiorU, closureEbigcap, interiorEbigcup, closure_open_regclosed, interior_closed_regopen, closure_interior_idem, interior_closure_idem

• in file topology_structure.v,

  • mixin isContinuous, type continuousType, structure Continuous
  • new lemma continuousEP.
  • new definition mkcts.

• in file subspace_topology.v,

  • new lemmas continuous_subspace_setT, nbhs_prodX_subspace_inE, and continuous_subspace_prodP.
  • type continuousFunType, HB structure ContinuousFun

• in file subtype_topology.v,

  • new lemmas subspace_subtypeP, subspace_sigL_continuousP, subspace_valL_continuousP', subspace_valL_continuousP, sigT_of_setXK, setX_of_sigTK, setX_of_sigT_continuous, and sigT_of_setX_continuous.

Changed

Renamed

Generalized

• in lebesgue_integral.v:
  • generalized from sigmaRingType/realType to sigmaRingType/sigmaRingType
    • mixin isMeasurableFun
    • structure MeasurableFun
    • definition mfun
    • lemmas mfun_rect, mfun_valP, mfuneqP

Deprecated

• in topology_structure.v:
  • lemma closureC

Removed

• in lebesgue_integral.v:

  • definition cst_mfun
  • lemma mfun_cst

• in cardinality.v:

  • lemma cst_fimfun_subproof

• in lebesgue_integral.v:

  • lemma cst_mfun_subproof (use lemma measurable_cst instead)
  • lemma cst_nnfun_subproof (turned into a Let)
  • lemma indic_mfun_subproof (use lemma measurable_fun_indic instead)

Infrastructure

Misc